Astronomy and Astrophysics – Astrophysics
Scientific paper
Jun 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006spd....37.1705m&link_type=abstract
American Astronomical Society, SPD meeting #37, #17.05; Bulletin of the American Astronomical Society, Vol. 38, p.246
Astronomy and Astrophysics
Astrophysics
Scientific paper
I have derived analytical solutions for the 1D energy equation for static solar coronal loops for a set of heating functions parametrized as power-laws. This formalism yields a large set of solutions including loops that are mainly heated at the footpoints, at the looptop, and uniformly. I found that the analytical solutions are indistinguishable from numerical solutions produced the MSU 1D hydro-code.I also find that there is very little difference between the temperature profiles for these very different heating functions. A surprising result is though that the constant of proportionality in the classic RTV scaling law (PL T^3) depends strongly on the heating function used, yielding a potential diagnostic for the type of heating function at work in the solar corona -- assuming most loops have the same heating profile. Loops heated at the base have a large constant of proportionality, leading to overdense loops compared to the case of uniform heating, and v.v. for loops heated at the top -- an effect that had already been noticed in numerical solutions but has been inaccurately been interpreted as a violation of the scaling law.This work is supported by NASA Grant NAS5-38099 for the Transition Region and Coronal Explorer, and NNG04EA00C for the Atmospheric Imaging Assembly through subcontracts with Lockheed-Martin Solar and Astrophysics Lab.
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